a. Explain what is meant by a correlation coefficient (size and direction) using two of the correlations as examples. The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction. A negative correlation coefficient tells you that they instead move in opposite directions. The direction of the relationship (positive or negative) is indicated by the sign of the coefficient. The size of the correlation coefficient indicates the strength of the association. For example,
a. Explain what is meant by a correlation coefficient (size and direction) using two of the correlations as examples. The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction. A negative correlation coefficient tells you that they instead move in opposite directions. The direction of the relationship (positive or negative) is indicated by the sign of the coefficient. The size of the correlation coefficient indicates the strength of the association. For example,
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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UBIRA
1. Dr. Mahrer was interested in studying the relationships between different parenting
behaviors and child mental health outcomes. She collected data from a sample of N = 127
mothers. Mothers participated in a play task with their children where their parenting was
coded. Mothers reported on their child's internalizing and externalizing behaviors. The
person correlation results are as follows:
Responsive
Rejecting
Internalizing
Problems
Externalizing
Problems
Parenting
Parenting
1.00
Responsive Parenting
-.44**
-.34**
-.26**
-44**
1.00
.29*
.17
Rejecting Parenting
Internalizing Problems
-.34**
.29*
1.00
.62**
Externalizing Problems
-.26**
.17
.62**
1.00
Note: *p<.05, **p<.01
a. Explain what is meant by a correlation coefficient (size and direction) using two of
the correlations as examples.
Bib
The correlation coefficient describes how one variable moves in relation to
another. A positive correlation indicates that the two move in the same
direction. A negative correlation coefficient tells you that they instead move in
opposite directions. The direction of the relationship (positive or negative) is
indicated by the sign of the coefficient. The size of the correlation coefficient
indicates the strength of the association. For example,
b. Study the table and comment on the patterns of results in terms of which variables
are relatively strongly correlated and which are not as strongly correlated.
c. Comment on the limitations of making conclusions about direction of causality
based on these data. In other words, discuss the issue of making cause-effect
statements using correlations.
Causality expresses a cause and effect between two variables. It indicates a
relationship between the variables where one causes the other. However,
correlation only gives us the strength and direction of the linear relationships.
d. Identify one possible confounding variable and explain how it might affect these
results (i.e., how it would relate to each variable and make it look like there is an
association even if it weren't true).
One confounding variable would be home situations. Where they're coming
from (financially, mentally, etc.) at home can determine a relationship
between a mother and a child.
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